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Unformatted text preview: Give the Laurent series expansion about z = 1 for the function f ( z ) = z 2 1 + z . 7. Find the Laurent series expansion of f ( z ) = 1 z 3 cos( 1 z 2 ) valid in the region | z | > 0. 8. Find the Frst three terms of the Laurent series for f ( z ) = 1 e z 1 in the region < | z | < 2 using long-division with the Taylor series of e z 1. 9. Find the Laurent series expansion in terms of z of f ( z ) = z 1 + z in the region 1 < | z | < . Write your answer in summation form. 10. Find the Laurent series expansion in terms of z of the function f ( z ) = 1 z ( z 2 + 1) about z = 0 and about z = . 1...
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This note was uploaded on 02/27/2012 for the course MATH 417 taught by Professor Staff during the Fall '11 term at SUNY Albany.
- Fall '11
- Taylor Series